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Finding the Third Proportional to 179,919.75 and 384,751.50

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Solution

The third proportional to 179,919.75 and 384,751.50 is: 822,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,919.75 : 384,751.50 = 384,751.50 : x
  2. Step 2: Convert to fraction form
    179,919.75/384,751.50 = 384,751.50/x
  3. Step 3: Cross multiply
    179,919.75x = 384,751.50 × 384,751.50
  4. Step 4: Simplify right side
    179,919.75x = 148,033,716,752.25
  5. Step 5: Solve for x
    x = 148,033,716,752.25/179,919.75
  6. Step 6: Final answer
    x = 822,776.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.